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Free_Kalibri [48]
2 years ago
5

select the correct answer. Consider the function f. Which statement is true about function f? NO LINKS!! ​

Mathematics
1 answer:
andre [41]2 years ago
8 0

Answer:

C) As x approaches positive infinity, f(x) approaches positive infinity

Step-by-step explanation:

  • The domain is NOT all real numbers as x is either smaller than or bigger than 0, and smaller than or bigger than 2.  So x ≠ 0 and x ≠ 2.
  • This implies that there are asymptotes at x=0 and x=2.
    Therefore, the function is NOT continuous.
  • The function is NOT increasing over its entire domain as
    f(x) = -x² -4x + 1 is decreasing for its given domain of 0<x<2

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What are the coordinates of the inflection point on the graph of y=(x+1)arctanx
Dennis_Churaev [7]

Inflection point is the point where the second derivative of a graph is zero.

y = (x+1)arctan xy' = (x+1)(arctan x)' + (1)arctan xy' = (x+1)/(x^2+1) + arctan xy'' = (x+1)(1/(1+x^2))' + 1/(1+x^2) + 1/(1+x^2)y'' = (x+1)(-1/(1+x^2)^2)(2x)+2/(1+x^2)y'' = ((x+1)(-2x)+1+x^2)/(1+x^2)^2y'' = (-2x^2-2x+2+2x^2)/(1+x^2)^2y'' = (-2x+2)/(1+x^2)^2

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Therefore, E(1, pi/2).


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

5 0
3 years ago
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